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Finding the Fourth Proportional to 1,362.88, 2,039.86 and 997.57

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Solution

The fourth proportional to 1,362.88, 2,039.86 and 997.57 is: 1,493.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,362.88 : 2,039.86 = 997.57 : x
  2. Step 2: Convert to fraction form
    1,362.88/2,039.86 = 997.57/x
  3. Step 3: Cross multiply
    1,362.88x = 2,039.86 × 997.57
  4. Step 4: Simplify right side
    1,362.88x = 2,034,903.14
  5. Step 5: Solve for x
    x = 2,034,903.14/1,362.88
  6. Step 6: Final answer
    x = 1,493.09

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.